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3.2and3.3.notebook
1
October13,2015
Feb141:37PM
LogarithmicfunctionsareINVERSESofExponentialfunctions.
Theyarereflectedabouttheliney=x.
X Y X Y
inverseof:
Dec1211:08AM
Exponential:
Domain:Range:Asymptote:
Inverse:
Domain:Range:Asymptote:
3.2and3.3.notebook
2
October13,2015
Feb141:42PM
Logarithmic Form Exponential Form
ifandonlyif
*** I LOGS***
3x=27 log4123=x
Feb141:51PM
COMMON LOGS have base "10" If no base is listed it means base "10" log 3 means log103 LOG on calc defaults base 10 2nd LOG is 10x is the inverse EXPONENTIAL
NATURAL LOGS have base "e" If no base is listed it means base "e" "ln" is used for natural logs. ln 4 means loge 4 LN on calc defaults base e 2nd LN is ex inverse EXPONENTIAL
3.2and3.3.notebook
3
October13,2015
Dec1212:16PM
BasicPropertiesoflogs:
Dec1212:05PM
Graph
Grapheachofthefollowing.Statethedomain,rangeandasymptoteaswellasthetranslationsfromtheparentfunction.
Examples1:
3.2and3.3.notebook
4
October13,2015
Feb142:05PM
EXAMPLES2:ChangefromLogarithmicformtoExponentialForm
EXAMPLES3:ChangefromExponentialtoLogarithmicform
Feb142:39PM
EXAMPLES4:Evaluatethefollowing:
3.2and3.3.notebook
5
October13,2015
Feb142:43PM
EXAMPLES5:Solveforx.
Feb1410:38AM
MultiplyingExponentsoftheSameBase
logbmn=logbm+logbn
ProductPropertywithlogs
MoreProperties
DividingexponentsoftheSameBase Quotient Property with logs
PowerPropertyofLogarithms
logbap = p logba
PowerPropertyofexponents
(bm)n=bmn
3.2and3.3.notebook
6
October13,2015
Feb1411:21AM
Expressasasinglelogarithm.Simplifyifpossible.
1.lnx+ln4 2.log10 250+log10 40
EXAMPLES6:
3.log4128log48 4.lnzlnx
Feb1412:37PM
Example7Expressasaproduct.Simplifyifpossible.
1.log104 2.log5252
3.2and3.3.notebook
7
October13,2015
Dec1610:41AM
EXAMPLES8:
Expressasasinglelog
Expand
Oct138:58AM
Homework:
P.2005559oddalsostateasymptoteandEBofg(x)
P.207209
13,15,59,61,63,81,83
93105odd,111118all,121
3.2and3.3.notebook
8
October13,2015
Oct1310:12AM
Attachments
Day2Worksheetanswers.pdf
SMART Notebook
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